I've been told by my lecturer that lone pair-lone pair repulsions are the strongest so why is it that both pairs in ClF3 are pretty much right next to each other? I don't quite understand why they're not at 180* to each other :/

What would be the angle between the lone pair and Fs if the molecule was planar? What are they in the T shaped molecule?
Lp-lp repulsions are the strongest, but you have to take into account repulsions from bps too and minimise repulsions from the whole molecule